Three consecutive odd numbers who's sum is 40
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Odd Numbers are all of the form 2x+1 where x is a Natural Number or zero.
So what you are asking for is some numbers n,m,p∈N∪{0} such that:
(2n+1)+(2m+1)+(2p+1)=40
Rearranging we get:
2(n+m+p+1)+1=40
But the number on the left is of the form 2x+1 where x is a Natural Number or zero. So it must be odd. But 40=2×20 is clearly even and so we have a contradiction.
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